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Finding the Fourth Proportional to 32,289.68, 44,528.72 and 20,955

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Solution

The fourth proportional to 32,289.68, 44,528.72 and 20,955 is: 28,897.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,289.68 : 44,528.72 = 20,955 : x
  2. Step 2: Convert to fraction form
    32,289.68/44,528.72 = 20,955/x
  3. Step 3: Cross multiply
    32,289.68x = 44,528.72 × 20,955
  4. Step 4: Simplify right side
    32,289.68x = 933,099,327.60
  5. Step 5: Solve for x
    x = 933,099,327.60/32,289.68
  6. Step 6: Final answer
    x = 28,897.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.